λ
Harmonic Matrix

2,037,405

3 × 5 × 37 × 3671
Deficient Odd Composite

2,037,405 has digital root 3. The neighboring primes are 2037391 and 2037407; its proper-divisor sum differs from the starting integer by -725,946.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 3671
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,348,864
Proper Divisor Sum 1,311,459
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2037391 ← → #2037407

Radix Representation

Decimal 2037405
Binary 111110001011010011101 (21 bits)
Octal 0o7613235
Hexadecimal 0x1F169D

Divisor Catalog (16)

1 3 5 15 37 111 185 555 3,671 11,013 18,355 55,065 135,827 407,481 679,135 2,037,405

Collatz Trajectory (109 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,037,405 6,112,216 3,056,108 1,528,054 764,027 2,292,082 1,146,041 3,438,124 1,719,062 859,531 2,578,594 1,289,297 3,867,892 1,933,946 966,973 2,900,920 1,450,460 725,230 362,615 1,087,846 543,923 1,631,770 815,885 2,447,656 1,223,828 611,914 305,957 917,872 458,936 229,468 114,734 57,367 172,102 86,051 258,154 129,077 387,232 193,616 96,808 48,404 24,202 12,101 36,304 18,152 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158

More profiles

← Previous Integer #2,037,404 Browse Full Index Next Integer #2,037,406 →